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Finding the Fourth Proportional to 73,845, 101,906.10 and 40,311

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Solution

The fourth proportional to 73,845, 101,906.10 and 40,311 is: 55,629.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,845 : 101,906.10 = 40,311 : x
  2. Step 2: Convert to fraction form
    73,845/101,906.10 = 40,311/x
  3. Step 3: Cross multiply
    73,845x = 101,906.10 × 40,311
  4. Step 4: Simplify right side
    73,845x = 4,107,936,797.10
  5. Step 5: Solve for x
    x = 4,107,936,797.10/73,845
  6. Step 6: Final answer
    x = 55,629.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.